Search a number
-
+
125122111201 is a prime number
BaseRepresentation
bin111010010000111011…
…0111110011011100001
3102221221222022211010201
41310201312332123201
54022222230024301
6133251425025201
712016433253133
oct1644166763341
9387858284121
10125122111201
114907819607a
12202bb185201
13ba5042bab9
1460ad713053
1533c49cd201
hex1d21dbe6e1

125122111201 has 2 divisors, whose sum is σ = 125122111202. Its totient is φ = 125122111200.

The previous prime is 125122111189. The next prime is 125122111241. The reversal of 125122111201 is 102111221521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87417792225 + 37704318976 = 295665^2 + 194176^2 .

It is a cyclic number.

It is not a de Polignac number, because 125122111201 - 213 = 125122103009 is a prime.

It is a super-2 number, since 2×1251221112012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (125122111241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62561055600 + 62561055601.

It is an arithmetic number, because the mean of its divisors is an integer number (62561055601).

Almost surely, 2125122111201 is an apocalyptic number.

It is an amenable number.

125122111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

125122111201 is an equidigital number, since it uses as much as digits as its factorization.

125122111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 125122111201 its reverse (102111221521), we get a palindrome (227233332722).

The spelling of 125122111201 in words is "one hundred twenty-five billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".